Answer:
..
Step-by-step explanation:
Round the amounts to the nearest whole dollars:
$3.51 rounds to $4
$2.28 rounds to $2
the difference = 4-2 = $2
The actual difference would be between $1 and $2
Answer:
a) Therefore, exists 155 ways.
b) Therefore, exists 4845 ways.
c) That is not possible.
Step-by-step explanation:
We know that the math department of a college has 20 faculty members, of whom 5 are women and 15 are men. A curriculum committee of 4 faculty members is to be selected.
a) We calculate how many ways are there to select the committee that has more women than men
Therefore, exists 155 ways.
b) We get:
Therefore, exists 4845 ways.
c) That is not possible.
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 .
The factors that are common to 40 and 48 are 1, 2, 4, and 8 .
The greatest one is <u><em>8</em></u> .
